On the invariant properties of quantum uncertainty relations with respect to parameters of virtual photons responsible for interaction processes in quantum particle systems

Abstract

Uncertainty relations (UR) are considered based on analysis of the peculiarities of virtual photons involved in electromagnetic inter-particle interaction processes in the frame of quantum field theory. Based on the virtual photon approach, particular properties of UR are discussed with respect to both species of the uncertainty relations dependent or independent on the velocity of particle moving in the coordinate–time space. In the frame of this approach, the underlying physical reason for a universal property of Heisenberg's UR is established, which consists in their invariance on the frequency of virtual photons. In line with the virtual photon approach, UR properties are discussed for the case of bound electron states, as well as peculiarities of Heisenberg's relations at inter-particle distances smaller than Compton length resulting from the decrease of virtual photon's contribution into the interaction processes at short distances.